Question

Four similar charges each of magnitude $Q$ are placed at the four comers of a square of side '$a$'. The intensity of the electric field at the intersection of the diagonal is

• A. 0
• B. $\frac{Q}{4\pi {\epsilon }_0{a}^2}$
• C. $\frac{4Q}{4\pi {\epsilon }_0{a}^2}$
• D. $\frac{Q}{8\pi {\epsilon }_0{a}^2}$

Answer 1

The correct option is C $\frac{4Q}{4\pi {\epsilon }_0{a}^2}$

Four similar charges each of magnitude $=Q$

Square of side $=a$

intensity of electric field $E=\frac{4Q}{4\pi {ϵ}_0{a}^2}$

This is the total charge $=4Q$.